Geometric group theory | Coxeter groups | Properties of groups | Euclidean geometry | Finite groups | Polyhedra | Hyperbolic geometry | Spherical trigonometry | Tessellation
In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle. The triangle can be an ordinary Euclidean triangle, a triangle on the sphere, or a hyperbolic triangle. Each triangle group is the symmetry group of a tiling of the Euclidean plane, the sphere, or the hyperbolic plane by congruent triangles called Möbius triangles, each one a fundamental domain for the action. (Wikipedia).
Label the parts of a triangle ex 1
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Given an isosceles triangle, find the measure of all of the side lengths
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Using the Isosceles triangle theorem to find the measure of x
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Apply a Pythagorean triple to solve for the missing side of a triangle ex 1
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Find the measure for the sides of an equilateral triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Learning to classify a triangle given three points
👉 Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Classifying triangles by the measure of their sides
👉 Learn all about classifying triangles. A triangle is a closed figure with three sides. A triangle can be classified based on the length of the sides or based on the measure of the angles. To classify a triangle based on the length of the sides, we have: equilateral (3 sides are equal), i
From playlist Triangles
Counting: The Number of Triangles from an L-Shape of Points
This video explains how to determine how may triangles can be formed from a L of points.
From playlist Counting (Discrete Math)
Discrete groups in complex hyperbolic geometry (Lecture - 2) by Pierre Will
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Learn how to classify a triangle by it's sides ex 8
👉 Learn how to classify triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of its angles or on the basis of its side lengths. The classification of triangles on the bases of its angles are: acute, right and obtuse triangles. The classification of tri
From playlist Classify Triangles
Symmetry Groups of Triangles (Abstract Algebra)
We introduce the connection between geometric figures and abstract algebra by showing how you can associate a group with triangles. The more symmetric the triangle, the larger the group. We illustrate this by finding the group of symmetries for equilateral, isosceles and scalene triangle
From playlist Abstract Algebra
How to find the measure of each side of an equilateral triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Piotr Przytycki: Torsion groups do not act on 2-dimensional CAT(0) complexes
We show, under mild hypotheses, that if each element of a finitely generated group acting on a 2-dimensional CAT(0) complex has a fixed point, then the action is trivial. In particular, all actions of finitely generated torsion groups on such complexes are trivial. As an ingredient, we pro
From playlist Geometry
Dihedral Groups -- Abstract Algebra 4
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From playlist Abstract Algebra
Abstract Algebra 1.1 : Introduction to Groups
This is a quick introduction using the intuition of the triangle in order to identify the axioms of a group. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Abstract Algebra
The generic Schwarz triangle equations
From playlist Workshop on Model Theory, Differential/Difference Algebra, and Applications
What is a Group Action? : A Group as a Category and The Skeleton Operation ☠
This week I try to take a more Categorical approach to answering and expanding upon the question of "what is a group action". Along the way I'll go over thinking about a group as a category and eventually hit on the skeleton operation on a category and use it to present an example of the c
From playlist The New CHALKboard
Rachel Quinlan - Paper for Wallpaper - CoM Oct 2021
This talk will present a case for an exploration of the wallpaper groups through the art and craft of origami. It will begin with a brief introduction to folding techniques for tessellations (and other patterns with symmetry), including some elementary moves that can be combined to produce
From playlist Celebration of Mind 2021
Finding the measure for each side of an isosceles triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A
From playlist Triangles
Jack Calcut: Mazur and Jester 4-manifolds
Jack Calcut, Oberlin College Title: Mazur and Jester 4-manifolds Mazur and Po{\'e}naru constructed the first compact, contractible manifolds distinct from disks. More recently, Sparks modified Mazur's construction and defined Jester manifolds. Sparks used Jester manifolds to produce compac
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022